Precision

โœ… What is Precision?

  • Precision means how exact or detailed a measurement is.
  • It shows how close repeated measurements are to each other.
    ๐Ÿ” โ€œSame result again and again!โ€

๐Ÿ“ Precision vs Accuracy

Precision ๐Ÿ’ŽAccuracy ๐ŸŽฏ
Results are close to each otherResult is close to the actual (true) value
ConsistencyCorrectness

๐Ÿงช Example: If you measure 5 times and all values are nearly equal โ†’ precise.
If the value is close to the real answer โ†’ accurate.


๐Ÿ“ Why is Precision Important?

  • Helps in science experiments to get reliable results ๐Ÿงฌ
  • Used in engineering & technology for correct designs โš™๏ธ
  • Needed in medicine & pharmacy to give correct doses ๐Ÿ’Š

๐Ÿ”ข Precision in Math & Measurements

A measurement with more decimal places or smaller units is more precise.
Example:

  • 5 cm โ†’ less precise
  • 5.23 cm โ†’ more precise ๐Ÿงฎ

๐Ÿง  Tools Affect Precision

  • Better tools = better precision โœจ
    ๐Ÿ“ Examples:
  • A ruler with mm markings is more precise than one with only cm.
  • A digital stopwatch is more precise than a sand timer โฑ๏ธ

๐Ÿ”„ Precision in Repeated Trials

  • Perform measurements multiple times.
  • If results are very close, the data is precise ๐Ÿ“Š

ex: 12.3g, 12.2g, 12.3g โœ… โ€“ High precision
12.3g, 10.5g, 13.8g โŒ โ€“ Low precision


๐Ÿงฎ Precision in Numbers (Significant Figures)

More significant figures = more precision.
Example:

  • 2.5 (2 sig figs)
  • 2.503 (4 sig figs โ†’ more precise)

๐Ÿ’ก Quick Tips to Improve Precision

โœ”๏ธ Use proper instruments
โœ”๏ธ Avoid parallax errors
โœ”๏ธ Measure more than once
โœ”๏ธ Record values carefully


๐ŸŒŸ Summary

Precision helps us make consistent, reliable, and detailed measurements, which is essential in science, maths, technology, and daily life.

Learn with an example

  • 43.1 days
  • 23 days

43.1 days is measured to the tenth of a day.

23 days is measured to the day.

A tenth of a day is a smaller unit than a day. So, the measurement of 43.1 days is more precise.

  • 46.48 minutes
  • 15.1 minutes

46.48 minutes is measured to the hundredth of a minute.

15.1 minutes is measured to the tenth of a minute.

A hundredth of a minute is a smaller unit than a tenth of a minute. So, the measurement of 46.48 minutes is more precise.

  • 20.9 minutes
  • 2.91 minutes

20.9 minutes is measured to the tenth of a minute.

2.91 minutes is measured to the hundredth of a minute.

A hundredth of a minute is a smaller unit than a tenth of a minute. So, the measurement of 2.91 minutes is more precise.

let’s practice!